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JCNS
2010
100views more  JCNS 2010»
14 years 8 months ago
Morphologically accurate reduced order modeling of spiking neurons
Accurately simulating neurons with realistic morphological structure and synaptic inputs requires the solution of large systems of nonlinear ordinary differential equations. We ap...
Anthony R. Kellems, Saifon Chaturantabut, Danny C....
HYBRID
2000
Springer
15 years 1 months ago
Towards Procedures for Systematically Deriving Hybrid Models of Complex Systems
Abstract. In many cases, complex system behaviors are naturally modeled as nonlinear differential equations. However, these equations are often hard to analyze because of "sti...
Pieter J. Mosterman, Gautam Biswas
MICCAI
2007
Springer
15 years 11 months ago
Variational Guidewire Tracking Using Phase Congruency
We present a novel method to track a guidewire in cardiac x-ray video. Using variational calculus, we derive differential equations that deform a spline, subject to intrinsic and e...
Gregory G. Slabaugh, Koon Kong, Gozde B. Unal, Ton...
AUTOMATICA
2007
75views more  AUTOMATICA 2007»
14 years 10 months ago
System theory for numerical analysis
Many numerical schemes can be suitably studied from a system theoretic point of view. This paper studies the relationship between the two disciplines, that is, numerical analysis ...
Kenji Kashima, Yutaka Yamamoto
EH
2002
IEEE
139views Hardware» more  EH 2002»
15 years 3 months ago
Evolving Cellular Automata to Model Fluid Flow in Porous Media
Fluid flow in porous media is a dynamic process that is traditionally modeled using PDE (Partial Differential Equations). In this approach, physical properties related to fluid fl...
Tina Yu, Seong Lee